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Finding the Fourth Proportional to 1,527.96, 2,291.26 and 650.43

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Solution

The fourth proportional to 1,527.96, 2,291.26 and 650.43 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.96 : 2,291.26 = 650.43 : x
  2. Step 2: Convert to fraction form
    1,527.96/2,291.26 = 650.43/x
  3. Step 3: Cross multiply
    1,527.96x = 2,291.26 × 650.43
  4. Step 4: Simplify right side
    1,527.96x = 1,490,292.79
  5. Step 5: Solve for x
    x = 1,490,292.79/1,527.96
  6. Step 6: Final answer
    x = 975.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.